Exact solution of the problem of spatial potential theory for two spheres

• Date: 2020
• Author Affiliations: Yu.F. Didenko — Kyiv National University of Trade and Economics; V.I. Denisenko; O.K. Schetinina
• Keywords: keywords
• Main Authors: Didenko, Yu.F., Denisenko, V.I., Schetinina, O.K., Диденко, Ю.Ф., Денисенко, В.И., Щетинина, О.К., Діденко, Ю.Ф., Денісенко, В.І., Щетініна, О.К.
• Format: Article
• Language: Ukrainian; English
• Published: Інститут математики НАН України 2020
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/441
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

The problem of theory of potentials for two spherical conductors of the same radius is considered. Using the transformation formulas of harmonic functions for origin of spherical coordinates transfer, an infinite system of algebraic equations is obtained to determine the unknown constants. An approa...